29745587648460 has 96 divisors (see below), whose sum is σ = 83354231987712. Its totient is φ = 7925817715200.

The previous prime is 29745587648449. The next prime is 29745587648509. The reversal of 29745587648460 is 6484678554792.

It is a super-2 number, since 2×29745587648460² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392886969 + ... + 392962671.

It is an arithmetic number, because the mean of its divisors is an integer number (868273249872).

Almost surely, 2^{29745587648460} is an apocalyptic number.

29745587648460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29745587648460 is an abundant number, since it is smaller than the sum of its proper divisors (53608644339252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29745587648460 is a wasteful number, since it uses less digits than its factorization.

29745587648460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80863 (or 80861 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 75.

The spelling of 29745587648460 in words is "twenty-nine trillion, seven hundred forty-five billion, five hundred eighty-seven million, six hundred forty-eight thousand, four hundred sixty".